Abstract Based on computing evidence, Guarnieri and Vendramin conjectured that, for a generalized quaternion group G of order 2 n ⩾ 32 {2^{n}\geqslant 32} , there are exactly seven isomorphism classes of braces with adjoint group G. The conjecture is proved in the paper.

中文翻译：

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广义四元数群的仿射结构分类 ⩾32{\geqslant 32}

摘要 基于计算证据，Guarnieri 和 Vendramin 推测，对于阶数为 2 n ⩾ 32 {2^{n}\geqslant 32} 的广义四元数群 G，正好有 7 个同构类的括号与伴随群 G。 猜想在论文中得到了证明。